A thermodynamic process is shown in figure- The pressures and volumes corresponding to some points in the figure are PA-3- 104 Pa- PB-8- 104 Pa and VA-2- 10-3 m3- VD-5- 10-3 m3- In process AB- 600 J of heat is added to the system and in process BC- 200 J of heat is added to the system- The change in internal energy of the system in process AC would be

The correct option is A 560 J No work is done during isochoric process A→ B .Work done during isobaric process B→ C=P_B(V_C V_B) =P_B(V_D V ...

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Standard XII

Physics

2nd Law of Thermodynamics

A thermodynam...

Question

A thermodynamic process is shown in figure. The pressures and volumes corresponding to some points in the figure are $P_{A} = 3 \times 10^{4} P a$ , $P_{B} = 8 \times 10^{4} P a$ and $V_{A} = 2 \times 10^{- 3} m^{3}$ , $V_{D} = 5 \times 10^{- 3} m^{3}$ . In process $A B$ , $600 J$ of heat is added to the system and in process $B C$ , $200 J$ of heat is added to the system. The change in internal energy of the system in process $A C$ would be

560 J

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800 J

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600 J

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640 J

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Solution

The correct option is A $560 J$
No work is done during isochoric process $A \to B$ .
Work done during isobaric process $B \to C = P_{B} (V_{C} - V_{B})$
$= P_{B} (V_{D} - V_{A}) = 240 J$
From conservation of energy, $Q = U + W$
$⟹ U = Q - W = (600 + 200) J - 240 J = 560 J$

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Similar questions

Q. A thermodynamic process is shown in the following figure. The pressure and volumes corresponding to some points in the figure are:

P_{A} = 3 \times 10^{3} P a, V_{A} = 2 \times 10^{- 3} m^{3}

P_{B} = 3 \times 10^{4} P a, V_{D} = 2 \times 10^{- 3} m^{3}

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600 J

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Q. A thermodynamic process is shown in the given figure. The pressures and volume corresponding to some points in the figure are:

P_{A} = 3 \times 10^{4} Pa

P_{B} = 8 \times 10^{4} Pa

V_{A} = 2 \times 10^{- 3} m^{3}

V_{D} = 5 \times 10^{- 3} m^{3}

In the process AB, 600 J of heat is added to the system and in BC, 200 J of heat is added to the system. The change in internal energy of the system in the process AC would be:

A thermodynamic process is shown in the following figure. The pressure and volumes corresponding to some points in the figure are :

$P_{A} = 3 \times 10^{4} P a, V_{A} = 2 \times 10^{- 3} m^{3}$
$P_{B} = 8 \times 10^{4} P a, V_{D} = 5 \times 10^{- 3} m^{3}$

In process AB, 600 J of heat is added and in the process BC, 200 J of heat is added to the system. The change in internal energy of the system in the process AC would be?